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Simplifying Tan(3x)(tanx + -1) = 0 Remove parenthesis around (3x) anT * 3x(tanx + -1) = 0 Reorder the terms: anT * 3x(-1 + antx) = 0 Reorder the terms for easier multiplication: 3anT * x(-1 + antx) = 0 Multiply anT * x 3anxT(-1 + antx) = 0 (-1 * 3anxT + antx * 3anxT) = 0 (-3anxT + 3a^{2}n^{2}tx^{2}T) = 0 Solving -3anxT + 3a^{2}n^{2}tx^{2}T = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '3anxT'. 3anxT(-1 + antx) = 0 Ignore the factor 3.## Subproblem 1

Set the factor 'anxT' equal to zero and attempt to solve: Simplifying anxT = 0 Solving anxT = 0 Move all terms containing a to the left, all other terms to the right. Simplifying anxT = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.## Subproblem 2

Set the factor '(-1 + antx)' equal to zero and attempt to solve: Simplifying -1 + antx = 0 Solving -1 + antx = 0 Move all terms containing a to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + antx = 0 + 1 Combine like terms: -1 + 1 = 0 0 + antx = 0 + 1 antx = 0 + 1 Combine like terms: 0 + 1 = 1 antx = 1 Divide each side by 'ntx'. a = n^{-1}t^{-1}x^{-1}Simplifying a = n^{-1}t^{-1}x^{-1}## Solution

a = {n^{-1}t^{-1}x^{-1}}

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